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2812530840 = 2335710133151
BaseRepresentation
bin1010011110100011…
…1101000010011000
321021000021100222220
42213220331002120
521230001441330
61143030144040
7126461055240
oct24750750230
97230240886
102812530840
111213667059
12665ab2020
1335a8c6a42
141c9766b20
15116db2710
hexa7a3d098

2812530840 has 128 divisors (see below), whose sum is σ = 9738731520. Its totient is φ = 636480000.

The previous prime is 2812530797. The next prime is 2812530863. The reversal of 2812530840 is 480352182.

It is a super-2 number, since 2×28125308402 = 15820659451902211200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68265 + ... + 101415.

It is an arithmetic number, because the mean of its divisors is an integer number (76083840).

Almost surely, 22812530840 is an apocalyptic number.

2812530840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2812530840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869365760).

2812530840 is an abundant number, since it is smaller than the sum of its proper divisors (6926200680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2812530840 is a wasteful number, since it uses less digits than its factorization.

2812530840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33273 (or 33269 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2812530840 is about 53033.2993505024. The cubic root of 2812530840 is about 1411.5592026896.

The spelling of 2812530840 in words is "two billion, eight hundred twelve million, five hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 707 808 840 1010 1212 1414 1515 2020 2121 2424 2828 3030 3535 4040 4242 5656 6060 7070 8484 10605 12120 14140 16968 21210 28280 33151 42420 66302 84840 99453 132604 165755 198906 232057 265208 331510 397812 464114 497265 663020 696171 795624 928228 994530 1160285 1326040 1392342 1856456 1989060 2320570 2784684 3348251 3480855 3978120 4641140 5569368 6696502 6961710 9282280 10044753 13393004 13923420 16741255 20089506 23437757 26786008 27846840 33482510 40179012 46875514 50223765 66965020 70313271 80358024 93751028 100447530 117188785 133930040 140626542 187502056 200895060 234377570 281253084 351566355 401790120 468755140 562506168 703132710 937510280 1406265420 2812530840